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Set x^2-5x-14=0. So (x-7)(x+2)=0So function meets x-axis at (-2,0) and (7,0).To find turning point, differentiate function and set equal to 0.2x-5=0. So x=5/2. Substitute x=5/2 into f(x) to give y c...
y=(4/3)x3-2x2-24x+16Step 1: Understand the questiondy/dx means differentiate the function of y with respect to xturning points are where the gradient of the function changes and will...
Remember: sinθ=opposite/hypotenuse cosθ=adjacent/hypotenusetanθ=opposite/adjacentAC=5.6/sin(44) = 8.0615...We can then use this length to calculate the angle between AH and the pl...
To plot any graph, you usually only need to find a few points that are on that graph to the sketch it. With a quadratic like this, the easiest way to do this is to find where the graph crosses the x and y...
The best way to think approach question is thinking of it like a tree diagram.We know there are n sweets in total. Therefore the probability of eating 1 orange sweet the first time is 6/n.The probability ...
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